Final answer:
To calculate the approximate area of a circular garden with a circumference of 24 feet, we first determine the radius using the circumference formula and then apply the area formula, yielding an approximate area of 45.8 square feet.
Step-by-step explanation:
Calculating the Area of a Circular Garden
To find the approximate area of a circular garden with a circumference of approximately 24 feet, we can use the formula for the circumference of a circle, which is C = 2πr (where C is the circumference and r is the radius).
Since the circumference is 24 feet, we can rearrange the circumference formula to solve for the radius:
r = C / (2π).
Substituting 24 feet for C, we get:
r = 24 / (2π)
≈ 24 / 6.28
≈ 3.82 feet
Next, we use the formula for the area of a circle, which is A = πr², to find the area. Substituting the approximate value of the radius we found:
A = π(3.82)²
≈ π(14.59)
≈ 45.8 square feet
Therefore, the approximate area inside the circular garden is 45.8 square feet.